• Smart Structures and Systems
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• 제30권1호
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• pp.75-88
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• 2022

Engineering structures in operation essentially belong to time-varying or nonlinear structures and the resultant response signals are usually non-stationary. For such time-varying structures, it is of great importance to extract time-dependent dynamic parameters from non-stationary response signals, which benefits structural health monitoring, safety assessment and vibration control. However, various traditional signal processing methods are unable to extract the embedded meaningful information. As a newly developed technique, variational mode decomposition (VMD) shows its superiority on signal decomposition, however, it still suffers two main problems. The foremost problem is that the number of modal components is required to be defined in advance. Another problem needs to be addressed is that VMD cannot effectively separate non-stationary signals composed of closely spaced or overlapped modes. As such, a new method named generalized adaptive variational modal decomposition (GAVMD) is proposed. In this new method, the number of component signals is adaptively estimated by an index of mean frequency, while the generalized demodulation algorithm is introduced to yield a generalized VMD that can decompose mode overlapped signals successfully. After that, synchrosqueezing wavelet transform (SWT) is applied to extract instantaneous frequencies (IFs) of the decomposed mono-component signals. To verify the validity and accuracy of the proposed method, three numerical examples and a steel cable with time-varying tension force are investigated. The results demonstrate that the proposed GAVMD method can decompose the multi-component signal with overlapped modes well and its combination with SWT enables a successful IF extraction of each individual component.

• Geomechanics and Engineering
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• 제30권6호
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• pp.525-538
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• 2022

This paper presents a more general model for T-shaped combined footings that support two columns aligned on a longitudinal axis and each column provides an axial load and two orthogonal moments. This model can be applied to the following conditions: (1) without restrictions on its sides, (2) a restricted side and (3) two opposite sides restricted. This model considers the linear soil pressure. The recently published works have been developed for a restricted side and for two opposite sides restricted by Luévanos-Rojas et al. (2018a, b). The current model considers the uniform pressure distribution because the position of the resultant force coincides with the center of gravity of the surface of the footing in contact with the soil in direction of the longitudinal axis where the columns are located. This paper shows three numerical examples. Example 1 is for a T-shaped combined footing with a limited side (one column is located on the property boundary). Example 2 is for a T-shaped combined footing with two limited opposite sides (the two columns are located on the property boundary). Example 3 is for a T-shaped combined footing with two limited opposite sides, one column is located in the center of the width of the upper flange (b₁/2=L₁), and other column is located at a distance half the width of the strip from the free end of the footing (b₂/2=b-L₁-L). The main advantage of this work over other works is that this model can be applied to T-shaped combined footings without restrictions on its sides, a restricted side and two opposite sides restricted. It also shows the deficiencies of the current model over the new model.

• Advances in concrete construction
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• 제16권1호
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• pp.21-34
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• 2023

This work presents a complete optimal model for trapezoidal combined footings that support a concentric load and moments around of the "X" and "Y" axes in each column to obtain the minimum area and the minimum cost. The model presented in this article considers a pressure diagram that has a linear variation (real pressure) and the equations are not limited to some cases. The classic model takes into account a concentric load and the moment around of the "X" axis (transverse axis) that is applied due to each column, i.e., the resultant force is located at the geometric center of the footing on the "Y" axis (longitudinal axis), and when the concentric load and moments around of the "X" and "Y" axes act on the footing is considered the uniform pressure applied on the contact surface of the footing, and it is the maximum pressure. Four numerical problems are presented to find the optimal design of a trapezoidal combined footing under a concentric load and moments around of the "X" and "Y" axes due to the columns: Case 1 not limited in the direction of the Y axis; Case 2 limited in the direction of the Y axis in column 1; Case 3 limited in the direction of the Y axis in column 2; Case 4 limited in the direction of the Y axis in columns 1 an 2. The complete optimal design in terms of cost optimization for the trapezoidal combined footings can be used for the rectangular combined footings considering the uniform width of the footing in the transversal direction, and also for different reinforced concrete design codes, simply by modifying the resisting capacity equations for moment, for bending shear, and for the punching shear, according to each of the codes.

• Tribology and Lubricants
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• 제40권1호
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• pp.8-16
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• 2024

This study conducts numerical modeling and eigen-analysis of a rod-fastened rotor, which is mainly used in aircraft gas turbine engines in which multiple disks are in contact through curvic coupling. Nayak's theory is adopted to calculate surface parameters measured from the tooth profile of the curvic coupling gear. Surface parameters are important design parameters for predicting the stiffness between contact surfaces. Based on the calculated surface parameters, elastoplastic contact analysis is performed according to the interference between two surfaces based on the Greenwood-Williamson model. The equivalent bending stiffness is predicted based on the shape and elastoplastic contact stiffness of the curvic coupling. An equation of motion of the rod-fastened rotor, including the bending stiffness of the curvic coupling, is developed. Methods for applying the bending stiffness of a curvic coupling to the equation of motion and for modeling the equation of motion of a rotor that includes both inner and outer rotors are introduced. Rotordynamic analysis is performed through one-dimensional finite element analysis, and each element is modeled based on Timoshenko beam theory. Changes in bending stiffness and the resultant critical speed change in accordance with the rod fastening force are predicted, and the corresponding mode shapes are analyzed.

• 한국원자력학회:학술대회논문집
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• 한국원자력학회 1996년도 춘계학술발표회논문집(2)
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• pp.233-240
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• 1996

Analyses of the viscous and end effects on electromagnetic (EM) pumps of annular linear induction type for the sodium coolant circulation in Liquid Metal Fast Breeder Reactors have been carried out based on the MHD laminar flow analysis and the electromagnetic field theory. A one-dimensional MHD analysis for the liquid metal flowing through an annular channel has been performed on the basis of a simplified model of equivalent current sheets instead of three-phase currents in the discrete primary windings. The calculations show that the developed pressure difference resulted from electromagnetic and viscous forces in the liquid metal is expressed in terms of the slip, and that the viscous loss effects are negligible compared with electromagnetic driving forces except in the low-slip region where the pumps operate with very high flow velocities comparable with the synchronous velocity of the electromagnetic fields, which is not applicable to the practical EM pumps. A two-dimensional electromagnetic field analysis based on an equivalent current sheet model has found the vector potentials in closed form by means of the Fourier transform method. The resultant magnetic fields and driving forces exerted on the liquid metal reveal that the end effects due to finiteness of the pump length are formidable. In addition, a two-dimensional numerical analysis for vector potentials has been performed by the SOR iterative method on a realistic EM pump model with discretely-distributed currents in the primary windings. The numerical computations for the distributions of magnetic fields and developed pressure differences along the pump axial length also show considerable end effects at both inlet and outlet ends, especially at high flow velocities. Calculations of each magnetic force contribution indicate that the end effects are originated from the magnetic force caused by the induced current ( u x B ) generated by the liquid metal movement across the magnetic field rather than the one (E) produced by externally applied magnetic fields by three-phase winding currents. It is concluded that since the influences of the end effects in addition to viscous losses are extensive particularly in high-velocity operations of the EM pumps, it is necessary to find ways to suppress them, such as proper selection of the pump parameters and compensation of the end effects.

• 대한소아치과학회지
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• 제26권2호
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• pp.446-452
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• 1999

제 1 대구치의 이소 맹출이란 제 1 대구치가 비정상적인 맹출 경로를 취해 제 2 유구치의 비정상적인 조기 흡수를 일으키는 경우를 뜻한다. 비가역적 이소 맹출의 경우 제 2 유구치의 조기상실은 공간 상실, 제 1 대구치의 근심 경사, 제 2 소구치의 함몰, 총생과 대합치의 과맹출등을 야기시킨다. 치료의 주목적은 (1) 제 2 유구치의 조기 상실을 막아 공간 유지의 역할을 하게하고 (2) 상실된 치열장을 회복해 제 2 소구치의 정상적인 맹출을 돕는 것이다. 치료 방법은 제 1 대구치의 맹출 정도, 제 1 대구치의 위치 변화, 제 1 대구치가 걸려있는 제 2 유구치의 enamel ledge양, 제 2 유구치의 동요도, 동통이나 염증의 유무에 의해 결정된다. 제 1 대구치의 근심 경사의 치료에 사용되는 대부분의 편측성 장치는 결과적으로 공간 상실을 증가시키는 힘을 가하게 된다. 따라서 고정원의 보강을 위해 holding arch와 같은 양측성 고정원의 사용이 추천되고 있다. 본 증례 보고는 삼성 서울 병원을 내원한 환아중 제 1 대구치의 비가역적 이소 맹출로 제 2 유구치의 치근 흡수와 동요도 증가를 보이는 환아에서 양측성 고정원을 이용한 장치를 사용해 제 2 소구치의 정상적인 맹출에 필요한 충분한 공간을 유지할수 있었기에 이에 보고하는 바이다.

• 한국운동역학회지
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• 제18권4호
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• pp.135-142
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• 2008

본 연구는 9명의 피험자가 2주간 하루 6시간동안 후족부 경사각을 이용한 신발인 S사(社) 신발을 착용하여 보행하였으며 신발을 처음 신었을 때와 2주간 하루 6시간 이상 착용한 후의 데이터를 통해 기존의 운동화와 S사(社) 신발간의 비교를 수행하였다. 1. 기립자세에서의 S사(社) 신발의 착용 시 근전도의 활동인 증가하고 압력분포 중심 움직임은 약 60% 정도 증가하였다. 2. 피험자의 보행 시 S사(社) 신발을 착용하였을 때 신발의 힐 부부분의 $20^{\circ}$ 경사각으로 인해 heel strike 시 발목이 약 $14^{\circ}$ 정도 발등 쪽으로 굽혀짐을 확인하였으며 무릎에서는 이를 보완하기 위해 $2^{\circ}$ 정도 굴곡 됨을 보였다. 3. 이로 인해 최대 지면반력이 보다 빠르게 나타났으나 크기는 변하지 않았다. 4. S사(社) 신발의 착용하고 보행 시 지지기에서 발목과 무릎의 부하는 21-61%의 감소하는 결과를 나타내었다. 결과적으로 S사(社) 신발 착용시 목과 무릎각의 굴곡 각을 증가시켜 보행 시 몸이 곧게 서도록 하였다. 또한 보행 시 부하를 감소시킬 수 있음을 나타냈으나 2주간의 신발 착용으로 인한 신체의 변화는 나타나지 않음을 보였다.

• 대한치과보철학회지
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• 제33권4호
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• pp.780-806
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• 1995

The purpose of this study was to describe the application of 3D finite element analysis to determine resultant stresses on the bone anchored fixed prosthesis, implants and supporting bone of the mandible according to fixture numbers and load conditions. 4 or 6 fixtures and the bone anchored fixed prosthesis were placed in 3D finite element mandibular arch model which represents an actual mandibular skull. A $45^{\circ}$ diagonal load of 10㎏ was labiolingually applied in the center of the prosthesis(P1). A $45^{\circ}$ diagonal load of 20㎏ was buccolingually applied at the location of the 10mm or 20mm cantilever posterior to the most distal implant(P2 or P3). The vertical distribution loads were applied to the superior surfaces of both the right and the left 20mm cantilevers(P4). In order that the boundary conditions of the structure were located to the mandibular ramus and angle, the distal bone plane was to totally fixed to prevent rigid body motion of the entire model. 3D finite element analysis was perfomed for stress distribution and deflection on implants and supporting bone using commercial software(ABAQUS program. for Sun-SPARC Workstation. The results were as follows : 1. In all conditions of load, the hightest tensile stresses were observed at the metal lates of prostheses. 2. The higher tensile stresses were observed at the diagonal loads rather than the vertical loads 3. 6-implants cases were more stable than 4-implants cases for decreasing bending and torque under diagonal load on the anterior of prosthesis. 4. From a biomechanical perspective, high stress developed at the metal plate of cantilever-to-the most distal implant junctions as a consequence of loads applied to the cantilever extension. 5. Under diagonal load on cantilever extension, the 6-implants cases had a tendency to reduce displacement and to increase the reaction force of supporting point due to increasing the bendign stiffness of the prosthesis than 4-implants cases. 6. Under diagonal load on cantilever extension, the case of 10mm long cantilever was more stable than that of 20mm long cnatilever in respect of stress distribution and displacement. 7. When the ends of 10mm or 20mm long cantilever were loaded, the higher tensile stress was observed at the second most distal implant rather than the first most distal implant. 8. The 6-implants cases were more favorable about prevention of screw loosening under repeated loadings because 6-implants cases had smaller deformation and 4-implants cases had larger deformation.

• 대한토목학회논문집
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• 제29권5B호
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• pp.473-482
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• 2009

본 연구에서는 대부분이 수조실험에 의한 추정되어 온 해중의 방파제나 호안 등의 연직벽체에 작용하는 undular 및 turbulent bore에 의한 단파파력을 수치적으로 추정하기 위하여 Navier-Stokes운동방정식에 수면형상의 추적에 VOF법(Hirt and Nichols, 1981)을 채용하고 있는 CADMAS-SURF(CDIT, 2001)를 적용한다. 적용에서는 소스코드를 본 연구의 목적에 부합하도록 일부 수정하였다. 얻어진 원수치데이터에는 급격한 파력의 증감을 나타내는 스파이크현상이 강하게 표현되었으며, 이에 수치필터를 적용하여 5Hz 이상의 고주파수성분을 필터링하였다. 수치해석결과의 신뢰성을 확보하기 위하여 Matsutomi(1991) 및 Ramsden(1996)의 수조실험결과와 비교 검토하였으며, 이로부터 매우 좋은 일치성과 유용성을 확인할수 있었고, 단파성지진해일의 작용하에 있는 구조물의 설계에 도입될 수 있을 것으로 판단된다. 그리고, 본 2차원수조내에서 단파의 변형을 수위의 시 공간변화로부터 추정함과 동시에 전파속도의 변화특성을 나타내었다. 단파의 전파속도는 전파과정에서 변화되는 것을 확인할 수 있었다.